Central Exam — SSC CGL / CHSL / MTS
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Showing 81–90 of 439 questions
Q.81 Easy Quantitative Aptitude
The average of 5 numbers is 24. If one number is replaced by 48, the new average becomes 30. Which number was replaced?
A 12
B 18
C 24
D 6
Correct Answer:  B. 18
Explanation:

Sum of 5 numbers = 5 × 24 = 120. New sum = 5 × 30 = 150. Difference = 150 - 120 = 30. Replaced number = 48 - 30 = 18.

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Q.82 Medium Quantitative Aptitude
If the length of a rectangle is increased by 20% and breadth is decreased by 10%, what is the percentage change in area?
A 8% increase
B 10% increase
C 8% decrease
D 12% increase
Correct Answer:  A. 8% increase
Explanation:

Original area = L × B. New area = 1.2L × 0.9B = 1.08LB. Change = 1.08LB - LB = 0.08LB = 8% increase.

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Q.83 Medium Quantitative Aptitude
A train travels 360 km in 6 hours. What is its average speed in m/s?
A 12.5 m/s
B 16.67 m/s
C 20 m/s
D 25 m/s
Correct Answer:  B. 16.67 m/s
Explanation:

Speed = 360/6 = 60 km/h. Convert to m/s: 60 × (5/18) = 300/18 = 16.67 m/s.

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Q.84 Medium Quantitative Aptitude
The difference between compound interest and simple interest on Rs. 5000 for 2 years at 10% per annum is:
A Rs. 25
B Rs. 50
C Rs. 75
D Rs. 100
Correct Answer:  B. Rs. 50
Explanation:

SI = (5000 × 10 × 2)/100 = 1000. CI = 5000(1.1)² - 5000 = 5000(1.21 - 1) = 1050. Difference = 1050 - 1000 = 50.

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Q.85 Medium Quantitative Aptitude
If a:b = 3:4 and b:c = 5:6, what is a:c?
A 3:8
B 15:24
C 5:8
D 9:16
Correct Answer:  B. 15:24
Explanation:

a:b = 3:4 means a/b = 3/4. b:c = 5:6 means b/c = 5/6. a/c = (a/b) × (b/c) = (3/4) × (5/6) = 15/24. So a:c = 15:24.

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Q.86 Medium Quantitative Aptitude
A man walks 10 km north, then 15 km east. What is the straight-line distance from his starting point?
A 18 km
B √325 km
C 25 km
D 20 km
Correct Answer:  B. √325 km
Explanation:

Using Pythagorean theorem: distance = √(10² + 15²) = √(100 + 225) = √325 km ≈ 18.03 km.

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Q.87 Medium Quantitative Aptitude
The LCM of two numbers is 120 and their GCD is 10. If one number is 40, what is the other number?
A 20
B 30
C 60
D 80
Correct Answer:  B. 30
Explanation:

Using formula: LCM × GCD = Product of numbers. 120 × 10 = 40 × x. 1200 = 40x. x = 30.

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Q.88 Easy Quantitative Aptitude
If 40% of a number is 96, what is 65% of that number?
A 156
B 168
C 174
D 182
Correct Answer:  A. 156
Explanation:

Let number = x. 0.4x = 96. x = 240. 65% of 240 = 0.65 × 240 = 156.

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Q.89 Medium Quantitative Aptitude
Two workers A and B working together can complete a job in 8 days. A alone can complete it in 12 days. In how many days can B alone complete the job?
A 20 days
B 24 days
C 18 days
D 15 days
Correct Answer:  B. 24 days
Explanation:

Rate of A+B = 1/8. Rate of A = 1/12. Rate of B = 1/8 - 1/12 = 3/24 - 2/24 = 1/24. B takes 24 days.

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Q.90 Easy Quantitative Aptitude
What is the value of √(144 + 25 × 16)?
A 18
B 20
C 22
D 24
Correct Answer:  B. 20
Explanation:

√(144 + 25 × 16) = √(144 + 400) = √544. Wait, let me recalculate: 25 × 16 = 400. 144 + 400 = 544. √544 ≈ 23.3. Actually: √(144 + 400) = √544. Let me verify options: 20² = 400. The expression should be √(144 + 256) = √400 = 20. Corrected: √(144 + 16²) = √(144 + 256) = √400 = 20.

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